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On perturbations of generators of \(C_0\)-semigroups - MaRDI portal

On perturbations of generators of \(C_0\)-semigroups (Q1722351)

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On perturbations of generators of \(C_0\)-semigroups
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    On perturbations of generators of \(C_0\)-semigroups (English)
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    14 February 2019
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    Summary: We present a perturbation result for generators of \(C_0\)-semigroups which can be considered as an operator theoretic version of the Weiss-Staffans perturbation theorem for abstract linear systems. The results are illustrated by applications to the Desch-Schappacher and the Miyadera-Voigt perturbation theorems and to unbounded perturbations of the boundary conditions of a generator.
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    perturbation
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    generators of \(C_0\)-semigroups
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    Weiss-Staffans perturbation theorem
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    Desch-Schappacher perturbation theorem
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